On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory

@article{Allori2008OnTC,
  title={On the Common Structure of Bohmian Mechanics and the Ghirardi–Rimini–Weber Theory},
  author={Valia Allori and Sheldon Goldstein and Roderich Tumulka and Nino Zangh{\'i}},
  journal={The British Journal for the Philosophy of Science},
  year={2008},
  volume={59},
  pages={353 - 389}
}
Bohmian mechanics and the Ghirardi–Rimini–Weber theory provide opposite resolutions of the quantum measurement problem: the former postulates additional variables (the particle positions) besides the wave function, whereas the latter implements spontaneous collapses of the wave function by a nonlinear and stochastic modification of Schrödinger's equation. Still, both theories, when understood appropriately, share the following structure: They are ultimately not about wave functions but about… 
The Ontology of Bohmian Mechanics
TLDR
The article points out that the modern formulation of Bohm’s quantum theory, known as Bohmian mechanics, is committed only to particles’ positions and a law of motion, and sketches out how these options apply to primitive ontology approaches to quantum mechanics in general.
THE POINT PROCESSES OF THE GRW THEORY OF WAVE FUNCTION COLLAPSE
The Ghirardi–Rimini–Weber (GRW) theory is a physical theory that, when combined with a suitable ontology, provides an explanation of quantum mechanics. The so-called collapse of the wave function is
The physics and metaphysics of Tychistic Bohmian Mechanics.
Non-Markovian wave-function collapse models are Bohmian-like theories in disguise
Spontaneous collapse models and Bohmian mechanics are two different solutions to the measurement problem plaguing orthodox quantum mechanics. They have, a priori nothing in common. At a formal level,
A Relativistic Version of the Ghirardi–Rimini–Weber Model
Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi-Rimini-Weber (GRW) model of spontaneous wavefunction collapse. The GRW model was
The Quantum Formalism and the GRW Formalism
The Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse is known to provide a quantum theory without observers, in fact two different ones by using either the matter density
A Proposal for a Bohmian Ontology of Quantum Gravity
The paper shows how the Bohmian approach to quantum physics can be applied to develop a clear and coherent ontology of non-perturbative quantum gravity. We suggest retaining discrete objects as the
Particle Creation and Annihilation: Two Bohmian Approaches
  • A. Oldofredi
  • Philosophy
    Lato Sensu: Revue de la Société de philosophie des sciences
  • 2018
This paper reviews and discusses two extensions of Bohmian Mechanics to the phenomena of particle creation and annihilation typically observed in Quantum Field Theory (QFT): the so-called Bell-type
Forthcoming in Studies in History and Philosophy of Modern Physics GRW as an Ontology of Dispositions
The interpretation of quantum theory proposed by Ghirardi, Rimini and Weber (1986) (GRW) is realist with respect both to the quantum domain and to the classical domain. That is to say, it
Interpreting Quantum Mechanics in Terms of Random Discontinuous Motion of Particles
This thesis is an attempt to reconstruct the conceptual foundations of quantum mechanics. First, we argue that the wave function in quantum mechanics is a description of random discontinuous motion
...
...

References

SHOWING 1-10 OF 94 REFERENCES
A Relativistic Version of the Ghirardi–Rimini–Weber Model
Carrying out a research program outlined by John S. Bell in 1987, we arrive at a relativistic version of the Ghirardi-Rimini-Weber (GRW) model of spontaneous wavefunction collapse. The GRW model was
Quantum Equilibrium and the Role of Operators as Observables in Quantum Theory
Bohmian mechanics is arguably the most naively obvious embedding imaginable of Schrödinger's equation into a completely coherent physical theory. It describes a world in which particles move in a
Collapse and Relativity
Ever since we have been in the possession of quantum theories without observers, such as Bohmian mechanics or the Ghirardi‐Rimini‐Weber (GRW) theory of spontaneous wave function collapse, a major
Quantum equilibrium and the origin of absolute uncertainty
The quantum formalism is a “measurement” formalism-a phenomenological formalism describing certain macroscopic regularities. We argue that it can be regarded, and best be understood, as arising from
A survey of Bohmian mechanics
SummaryBohmian mechanics is the most naively obvious embedding imaginable of Schrödinger’s equation into a completely coherent physical theory. It describes a world in which particles move in a
On spontaneous wave function collapse and quantum field theory
  • R. Tumulka
  • Physics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2006
One way of obtaining a version of quantum mechanics without observers, and thus of solving the paradoxes of quantum mechanics, is to modify the Schrödinger evolution by implementing spontaneous
Schrödinger: Are there quantum jumps?
If we have to go on with these damned quantum jumps, then I'm sorry that I ever got involved. E. Schrodinger Introduction I have borrowed the title of a characteristic paper by Schrodinger
On the Role of Density Matrices in Bohmian Mechanics
It is well known that density matrices can be used in quantum mechanics to represent the information available to an observer about either a system with a random wave function (“statistical mixture”)
Wave Function Ontology
TLDR
It is shown that the state of three-dimensional objects does not supervene on thestate of objects in 3N-dimensional space, and that the only way to guarantee the existence of the appropriate mental states in the wave function ontology has undesirable metaphysical baggage.
Sixty-Two Years of Uncertainty : Historical, Philosophical, and Physical Inquiries into the Foundations of Quantum Mechanics
Opening Remarks.- Imagery, Probability and the Roots of Werner Heisenberg's Uncertainty Principle Paper.- Against "Measurement".- An Exposition of Bell's Theorem.- Wave-Particle Duality: A Case
...
...